Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-14T20:15:51.516Z Has data issue: false hasContentIssue false

The Sturmian Theory of Oscillations

Published online by Cambridge University Press:  03 November 2016

Extract

The Sturmian theory is concerned with the number of zeros that a solution of a linear differential equation of the second order may have in a given interval of the independent variable. As usually presented (e.g. Ince (1)) it appears as a very advanced theory, involving elaborate manipulations and reasoning. The purpose of this paper is to simplify the theory by an approach that makes the results intuitive and somewhat reduces the assumptions made.

Type
Research Article
Copyright
Copyright © The Mathematical Association 1954

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Ince, E.L., Ordinary Differential Equations (London: Longmans, 1927).Google Scholar